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230431400 = 23521152157
BaseRepresentation
bin11011011110000…
…01101010101000
3121001121010110022
431233001222220
5432442301100
634510540012
75465430443
oct1557015250
9531533408
10230431400
11109088581
1265207608
1338980754
142286465a
151536ae85
hexdbc1aa8

230431400 has 24 divisors (see below), whose sum is σ = 535753470. Its totient is φ = 92172480.

The previous prime is 230431391. The next prime is 230431417. The reversal of 230431400 is 4134032.

230431400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 91049764 + 139381636 = 9542^2 + 11806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575879 + ... + 576278.

Almost surely, 2230431400 is an apocalyptic number.

230431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230431400 is an abundant number, since it is smaller than the sum of its proper divisors (305322070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230431400 is a wasteful number, since it uses less digits than its factorization.

230431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152173 (or 1152164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 230431400 is about 15179.9670618878. The cubic root of 230431400 is about 613.0753943213.

Adding to 230431400 its reverse (4134032), we get a palindrome (234565432).

The spelling of 230431400 in words is "two hundred thirty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1152157 2304314 4608628 5760785 9217256 11521570 23043140 28803925 46086280 57607850 115215700 230431400